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1 B-spline signal processing 2

CONTENTS1

Contents

1B-splinesignalprocessing1.11.21.31.41.51.6

ContinousB-splines.............................Theinterpolationcondition.........................DiscreteB-splines:directtransform.....................DiscreteB-splines:indirecttransform....................B-splineinterpolatingfunction.......................Di erentiation................................

2357101314

References

[Unseretal.,1993]Unser,M.,Aldroubi,A.,andEden,M.(1993).B-splinesignalprocessing:partI—Theory.IEEETransactionsonSignalProcessing,41:821–833.

1B-SPLINESIGNALPROCESSING2

1B-splinesignalprocessing

B-splineso erane cient[Unseretal.,1993]meanstocomputeahigh-qualitycontinuousapproximationtothediscretedata.Importantapplications interpolation

edgedetectionandrelatedmethodsthatoperateoncontinuoussignalsonly

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